1/113 as a Decimal
1
113
=
0.008849557522124
This is a repeating decimal. The digits 0088495575221238938053097345132743362831858407079646017699115044247787610619469026548672566371681415929203539823 repeat infinitely.
To convert 1/113 to a decimal, we divide the numerator by the denominator:
1 ÷ 113 = 0.008849557522124
Understanding 1/113 as a Decimal
When we convert a fraction to a decimal, we are finding an equivalent value in decimal form. The decimal representation of a fraction shows the fraction as a value on the number line.
Repeating Decimal Explanation
The fraction 1/113 results in a repeating decimal. This happens when the division process never terminates with a remainder of zero.
In mathematics, we denote repeating decimals by placing a bar over the repeating digits or by using parentheses:
- 1/113 = 0.008849557522124 where 0088495575221238938053097345132743362831858407079646017699115044247787610619469026548672566371681415929203539823 repeats infinitely
Fraction to Decimal Method
To convert any fraction to a decimal:
- Divide the numerator by the denominator
- If the division terminates (remainder becomes 0), you have a terminating decimal
- If the division results in a repeating pattern of remainders, you have a repeating decimal